What is the 2325th prime number?
The 2325th prime number is 20627. The next prime is 20639 (a gap of 12) and the one before is 20611.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2325th one is 20627.
- 2
20627 is prime because no prime up to ā20627 ā 143.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2325th prime is close to 2325 Ć ln(2325) ā 18022, and here it is 20627.
- 4
20627 has no twin: neither 20625 nor 20629 is prime.
Primes around the 2325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2322 | 20593 | 30 |
| 2323 | 20599 | 6 |
| 2324 | 20611 | 12 |
| 2325 | 20627 | 16 |
| 2326 | 20639 | 12 |
| 2327 | 20641 | 2 |
| 2328 | 20663 | 22 |
Questions
What is the 2325th prime number?
20627.
Which prime number is 20627?
20627 is the 2325th prime number.
What is the sum of the first 2325 primes?
22,450,234.